Subgroups — C₂×C₆₇×#3265 #30740274

Order 17152.

3226 conjugacy classes of subgroups.

The subgroup lattice has 956 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×AGL(1,ℤ/8)×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂³×SD₁₆×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#548×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×D₄²×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
5	C₆₇×#3265	C₂	1	16	yes	maximal, direct product factor
6	C₂×#496×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#468×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#466×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#460×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#463×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#449×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#448×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#450×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#447×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#440×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#435×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂²×#41×C₆₇	C₂²	1	1	yes	characteristic, complemented
18	C₂³×Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
19	C₂³×D₄×C₆₇	—	2	1	no	—
20	C₂³×D₄×C₆₇	C₂²	1	1	yes	characteristic
21	C₂³×D₄×C₆₇	C₂²	1	1	yes	characteristic
22	C₂×AGL(1,ℤ/8)×C₆₇	—	2	8	no	—
23	C₂×AGL(1,ℤ/8)×C₆₇	C₂²	1	8	yes	complemented
24	C₂²×SD₁₆×C₆₇	—	2	8	no	—
25	C₂²×SD₁₆×C₆₇	C₂²	1	1	yes	characteristic
26	C₂²×SD₁₆×C₆₇	C₂²	1	1	yes	characteristic
27	C₂²×SD₁₆×C₆₇	C₂²	1	1	yes	characteristic, complemented
28	C₂²×SD₁₆×C₆₇	C₂²	1	1	yes	characteristic, complemented
29	C₂²×SD₁₆×C₆₇	C₂²	1	1	yes	characteristic, complemented
30	C₂²×SD₁₆×C₆₇	C₂²	1	1	yes	characteristic, complemented
31	C₂²×SD₁₆×C₆₇	C₂²	1	8	yes	complemented
32	C₂²×D₈×C₆₇	C₂²	1	1	yes	characteristic
33	C₂²×D₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
34	C₂²×D₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
35	C₂²×M₁₆×C₆₇	C₂²	1	1	yes	characteristic, complemented
36	C₂³×C₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
37	#548×C₆₇	—	2	4	no	—
38	#548×C₆₇	C₂²	1	8	yes	complemented
39	D₄²×C₆₇	—	2	4	no	—
40	D₄²×C₆₇	C₂²	1	8	yes	complemented
41	C₂×#127×C₆₇	C₂²	1	1	yes	characteristic
42	C₂×#124×C₆₇	—	2	1	no	—
43	C₂×#124×C₆₇	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₂²⋊Q₈×C₆₇	—	2	1	no	—
45	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
46	C₂×#121×C₆₇	—	2	1	no	—
47	C₂×#121×C₆₇	—	2	1	no	—
48	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic
49	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic
50	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic, complemented
51	C₂×#120×C₆₇	—	2	1	no	—
52	C₂×#120×C₆₇	—	2	1	no	—
53	C₂×C₄×Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₄×D₄×C₆₇	—	2	1	no	—
55	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic
56	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic
57	#496×C₆₇	C₂²	1	8	yes	complemented
58	#468×C₆₇	C₂²	1	8	yes	complemented
59	#466×C₆₇	C₂²	1	8	yes	complemented
60	#463×C₆₇	C₂²	1	8	yes	complemented
61	#460×C₆₇	C₂²	1	8	yes	complemented
62	#450×C₆₇	C₂²	1	8	yes	complemented
63	#449×C₆₇	C₂²	1	8	yes	complemented
64	#448×C₆₇	C₂²	1	8	yes	complemented
65	#447×C₆₇	C₂²	1	8	yes	complemented
66	#440×C₆₇	C₂²	1	8	yes	complemented
67	#435×C₆₇	C₂²	1	8	yes	complemented
68	C₂×#107×C₆₇	C₂²	1	1	yes	characteristic, complemented
69	C₂×C₄⋊C₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
70	C₂×#103×C₆₇	C₂²	1	1	yes	characteristic, complemented
71	C₂×#103×C₆₇	C₂²	1	1	yes	characteristic, complemented
72	C₂×#102×C₆₇	C₂²	1	1	yes	characteristic
73	C₂×#102×C₆₇	C₂²	1	1	yes	characteristic, complemented
74	C₂×#102×C₆₇	C₂²	1	1	yes	characteristic, complemented
75	C₂×#102×C₆₇	C₂²	1	1	yes	characteristic, complemented
76	C₂×C₂²⋊C₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
77	C₂×C₂²⋊C₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
78	C₂×#97×C₆₇	C₂²	1	1	yes	characteristic, complemented
79	C₂⁵×C₆₇	—	2	1	no	—
80	C₂⁵×C₆₇	—	2	1	no	—
81	C₂×#41×C₆₇	—	2	2	no	—
82	C₂×#41×C₆₇	—	2	4	no	—
83	C₂×#41×C₆₇	—	4	2	no	—
84	C₂×#41×C₆₇	C₂³	1	4	yes	complemented
85	C₂²×Q₈×C₆₇	—	2	1	no	—
86	C₂²×Q₈×C₆₇	—	2	2	no	—
87	C₂²×Q₈×C₆₇	—	2	4	no	—
88	C₂²×Q₈×C₆₇	—	4	2	no	—
89	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
90	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
91	C₂²×Q₈×C₆₇	C₂³	1	4	yes	complemented
92	C₂²×D₄×C₆₇	—	2	4	no	—
93	C₂²×D₄×C₆₇	—	2	4	no	—
94	C₂²×D₄×C₆₇	—	2	1	no	—
95	C₂²×D₄×C₆₇	—	2	1	no	—
96	C₂²×D₄×C₆₇	—	2	1	no	—
97	C₂²×D₄×C₆₇	—	2	1	no	—
98	C₂²×D₄×C₆₇	—	2	8	no	—
99	C₂²×D₄×C₆₇	—	2	1	no	—
100	C₂²×D₄×C₆₇	—	2	1	no	—
101	C₂²×D₄×C₆₇	—	2	1	no	—
102	C₂²×D₄×C₆₇	—	2	2	no	—
103	C₂²×D₄×C₆₇	—	2	2	no	—
104	C₂²×D₄×C₆₇	—	2	1	no	—
105	C₂²×D₄×C₆₇	—	4	2	no	—
106	C₂²×D₄×C₆₇	—	4	2	no	—
107	C₂²×D₄×C₆₇	—	4	8	no	—
108	C₂²×D₄×C₆₇	D₄	1	1	yes	characteristic
109	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
110	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
111	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
112	C₂²×D₄×C₆₇	C₂³	1	4	yes	—
113	C₂²×D₄×C₆₇	C₂³	1	4	yes	—
114	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
115	C₂³×C₄×C₆₇	—	2	1	no	—
116	C₂³×C₄×C₆₇	—	2	1	no	—
117	C₂³×C₄×C₆₇	—	2	1	no	—
118	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
119	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
120	AGL(1,ℤ/8)×C₆₇	—	2	32	no	—
121	C₂×SD₁₆×C₆₇	—	2	4	no	—
122	C₂×SD₁₆×C₆₇	—	2	4	no	—
123	C₂×SD₁₆×C₆₇	—	2	4	no	—
124	C₂×SD₁₆×C₆₇	—	2	32	no	—
125	C₂×SD₁₆×C₆₇	—	2	4	no	—
126	C₂×SD₁₆×C₆₇	—	4	2	no	—
127	C₂×SD₁₆×C₆₇	D₄	1	8	yes	complemented
128	C₂×SD₁₆×C₆₇	C₂³	1	4	yes	—
129	C₂×SD₁₆×C₆₇	C₂³	1	4	yes	—
130	C₂×SD₁₆×C₆₇	C₂³	1	4	yes	complemented
131	C₂×SD₁₆×C₆₇	C₂³	1	4	yes	complemented
132	C₂×SD₁₆×C₆₇	C₂³	1	4	yes	complemented
133	C₂×SD₁₆×C₆₇	C₂³	1	4	yes	complemented
134	C₂×D₈×C₆₇	—	2	4	no	—
135	C₂×D₈×C₆₇	—	2	4	no	—
136	C₂×D₈×C₆₇	—	4	2	no	—
137	C₂×D₈×C₆₇	C₂³	1	4	yes	—
138	C₂×D₈×C₆₇	C₂³	1	4	yes	complemented
139	C₂×D₈×C₆₇	C₂³	1	4	yes	complemented
140	C₂×M₁₆×C₆₇	—	2	4	no	—
141	C₂×M₁₆×C₆₇	C₂³	1	4	yes	complemented
142	C₂²×C₈×C₆₇	—	2	4	no	—
143	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
144	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
145	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
146	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
147	C₂²×C₈×C₆₇	C₂³	1	4	yes	complemented
148	#127×C₆₇	—	2	2	no	—
149	#127×C₆₇	C₂³	1	4	yes	—
150	#124×C₆₇	—	2	8	no	—
151	#124×C₆₇	—	2	2	no	—
152	#124×C₆₇	C₂³	1	4	yes	complemented
153	C₂²⋊Q₈×C₆₇	—	2	2	no	—
154	C₂²⋊Q₈×C₆₇	—	2	8	no	—
155	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	complemented
156	#121×C₆₇	—	2	8	no	—
157	#121×C₆₇	—	2	2	no	—
158	#121×C₆₇	—	2	2	no	—
159	#121×C₆₇	—	2	2	no	—
160	#121×C₆₇	—	2	8	no	—
161	#121×C₆₇	C₂³	1	4	yes	—
162	#121×C₆₇	C₂³	1	4	yes	—
163	#121×C₆₇	C₂³	1	4	yes	complemented
164	#120×C₆₇	—	2	8	no	—
165	#120×C₆₇	—	2	8	no	—
166	C₄×Q₈×C₆₇	—	2	2	no	—
167	C₄×Q₈×C₆₇	C₂³	1	4	yes	complemented
168	C₄×D₄×C₆₇	—	2	8	no	—
169	C₄×D₄×C₆₇	—	2	2	no	—
170	C₄×D₄×C₆₇	D₄	1	4	yes	—
171	C₄×D₄×C₆₇	C₂³	1	4	yes	—
172	C₄×D₄×C₆₇	C₂³	1	4	yes	—
173	C₂×C₄⋊C₄×C₆₇	—	2	1	no	—
174	C₂×C₄⋊C₄×C₆₇	—	2	1	no	—
175	C₂×C₄⋊C₄×C₆₇	D₄	1	1	yes	characteristic
176	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
177	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
178	C₂×C₂²⋊C₄×C₆₇	—	2	1	no	—
179	C₂×C₂²⋊C₄×C₆₇	—	2	1	no	—
180	C₂×C₂²⋊C₄×C₆₇	—	2	1	no	—
181	C₂×C₂²⋊C₄×C₆₇	—	2	1	no	—
182	C₂×C₂²⋊C₄×C₆₇	—	2	1	no	—
183	C₂×C₂²⋊C₄×C₆₇	—	2	1	no	—
184	C₂×C₂²⋊C₄×C₆₇	—	2	1	no	—
185	C₂×C₂²⋊C₄×C₆₇	D₄	1	1	yes	characteristic
186	C₂×C₂²⋊C₄×C₆₇	D₄	1	1	yes	characteristic
187	C₂×C₄²×C₆₇	—	2	1	no	—
188	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
189	#107×C₆₇	C₂³	1	4	yes	complemented
190	C₄⋊C₈×C₆₇	C₂³	1	4	yes	complemented
191	#103×C₆₇	C₂³	1	4	yes	complemented
192	#103×C₆₇	C₂³	1	4	yes	complemented
193	#102×C₆₇	C₂³	1	4	yes	—
194	#102×C₆₇	C₂³	1	4	yes	complemented
195	#102×C₆₇	C₂³	1	4	yes	complemented
196	#102×C₆₇	C₂³	1	4	yes	complemented
197	C₂²⋊C₈×C₆₇	C₂³	1	4	yes	complemented
198	C₂²⋊C₈×C₆₇	C₂³	1	4	yes	complemented
199	#97×C₆₇	C₂³	1	4	yes	complemented
200	C₂⁴×C₆₇	—	2	1	no	—
201	C₂⁴×C₆₇	—	2	1	no	—
202	C₂⁴×C₆₇	—	2	1	no	—
203	C₂⁴×C₆₇	—	2	1	no	—
204	C₂⁴×C₆₇	—	2	4	no	—
205	C₂⁴×C₆₇	—	2	4	no	—
206	C₂⁴×C₆₇	—	4	4	no	—
207	C₂⁴×C₆₇	—	4	4	no	—
208	C₂⁴×C₆₇	—	4	4	no	—
209	C₂⁴×C₆₇	—	4	4	no	—
210	C₂⁴×C₆₇	—	8	2	no	—
211	C₂⁴×C₆₇	—	8	2	no	—
212	C₂⁴×C₆₇	C₂×D₄	1	1	yes	characteristic
213	C₂⁴×C₆₇	C₂×D₄	1	1	yes	characteristic
214	#41×C₆₇	—	2	8	no	—
215	#41×C₆₇	—	4	4	no	—
216	#41×C₆₇	—	4	8	no	—
217	C₂×Q₈×C₆₇	—	2	1	no	—
218	C₂×Q₈×C₆₇	—	2	1	no	—
219	C₂×Q₈×C₆₇	—	2	4	no	—
220	C₂×Q₈×C₆₇	—	2	2	no	—
221	C₂×Q₈×C₆₇	—	2	8	no	—
222	C₂×Q₈×C₆₇	—	2	2	no	—
223	C₂×Q₈×C₆₇	—	2	2	no	—
224	C₂×Q₈×C₆₇	—	4	4	no	—
225	C₂×Q₈×C₆₇	—	4	4	no	—
226	C₂×Q₈×C₆₇	—	4	8	no	—
227	C₂×Q₈×C₆₇	C₂×D₄	1	4	yes	complemented
228	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
229	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
230	C₂×D₄×C₆₇	—	2	4	no	—
231	C₂×D₄×C₆₇	—	2	8	no	—
232	C₂×D₄×C₆₇	—	2	8	no	—
233	C₂×D₄×C₆₇	—	2	4	no	—
234	C₂×D₄×C₆₇	—	2	4	no	—
235	C₂×D₄×C₆₇	—	2	4	no	—
236	C₂×D₄×C₆₇	—	2	4	no	—
237	C₂×D₄×C₆₇	—	2	1	no	—
238	C₂×D₄×C₆₇	—	2	2	no	—
239	C₂×D₄×C₆₇	—	2	2	no	—
240	C₂×D₄×C₆₇	—	2	2	no	—
241	C₂×D₄×C₆₇	—	2	4	no	—
242	C₂×D₄×C₆₇	—	2	4	no	—
243	C₂×D₄×C₆₇	—	2	1	no	—
244	C₂×D₄×C₆₇	—	2	1	no	—
245	C₂×D₄×C₆₇	—	2	1	no	—
246	C₂×D₄×C₆₇	—	2	4	no	—
247	C₂×D₄×C₆₇	—	2	4	no	—
248	C₂×D₄×C₆₇	—	2	2	no	—
249	C₂×D₄×C₆₇	—	2	2	no	—
250	C₂×D₄×C₆₇	—	2	2	no	—
251	C₂×D₄×C₆₇	—	2	2	no	—
252	C₂×D₄×C₆₇	—	4	4	no	—
253	C₂×D₄×C₆₇	—	4	4	no	—
254	C₂×D₄×C₆₇	—	4	8	no	—
255	C₂×D₄×C₆₇	—	4	8	no	—
256	C₂×D₄×C₆₇	—	4	4	no	—
257	C₂×D₄×C₆₇	—	4	4	no	—
258	C₂×D₄×C₆₇	—	4	4	no	—
259	C₂×D₄×C₆₇	—	4	4	no	—
260	C₂×D₄×C₆₇	—	4	32	no	—
261	C₂×D₄×C₆₇	—	4	4	no	—
262	C₂×D₄×C₆₇	—	4	4	no	—
263	C₂×D₄×C₆₇	—	4	4	no	—
264	C₂×D₄×C₆₇	—	8	2	no	—
265	C₂×D₄×C₆₇	C₂×D₄	1	4	yes	—
266	C₂×D₄×C₆₇	C₂×D₄	1	4	yes	—
267	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
268	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
269	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
270	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
271	C₂²×C₄×C₆₇	—	2	1	no	—
272	C₂²×C₄×C₆₇	—	2	2	no	—
273	C₂²×C₄×C₆₇	—	2	2	no	—
274	C₂²×C₄×C₆₇	—	2	2	no	—
275	C₂²×C₄×C₆₇	—	2	2	no	—
276	C₂²×C₄×C₆₇	—	2	4	no	—
277	C₂²×C₄×C₆₇	—	2	1	no	—
278	C₂²×C₄×C₆₇	—	2	1	no	—
279	C₂²×C₄×C₆₇	—	2	1	no	—
280	C₂²×C₄×C₆₇	—	2	4	no	—
281	C₂²×C₄×C₆₇	—	2	4	no	—
282	C₂²×C₄×C₆₇	—	4	4	no	—
283	C₂²×C₄×C₆₇	—	4	4	no	—
284	C₂²×C₄×C₆₇	—	4	4	no	—
285	C₂²×C₄×C₆₇	C₂×D₄	1	2	yes	—
286	C₂²×C₄×C₆₇	C₂×D₄	1	2	yes	—
287	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
288	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
289	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
290	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
291	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
292	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
293	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
294	SD₁₆×C₆₇	—	2	8	no	—
295	SD₁₆×C₆₇	—	2	8	no	—
296	SD₁₆×C₆₇	—	2	8	no	—
297	SD₁₆×C₆₇	—	2	8	no	—
298	SD₁₆×C₆₇	—	4	4	no	—
299	SD₁₆×C₆₇	C₂×D₄	1	16	yes	complemented
300	D₈×C₆₇	—	2	8	no	—
301	D₈×C₆₇	—	2	8	no	—
302	D₈×C₆₇	—	4	4	no	—
303	M₁₆×C₆₇	—	2	8	no	—
304	C₂×C₈×C₆₇	—	2	2	no	—
305	C₂×C₈×C₆₇	—	2	2	no	—
306	C₂×C₈×C₆₇	—	2	2	no	—
307	C₂×C₈×C₆₇	—	2	8	no	—
308	C₂×C₈×C₆₇	C₂×D₄	1	4	yes	complemented
309	C₂×C₈×C₆₇	C₂⁴	1	2	yes	—
310	C₂×C₈×C₆₇	C₂⁴	1	2	yes	—
311	C₂×C₈×C₆₇	C₂⁴	1	2	yes	—
312	C₂×C₈×C₆₇	C₂⁴	1	2	yes	—
313	C₄⋊C₄×C₆₇	—	2	4	no	—
314	C₄⋊C₄×C₆₇	—	2	4	no	—
315	C₄⋊C₄×C₆₇	—	2	1	no	—
316	C₄⋊C₄×C₆₇	—	2	1	no	—
317	C₄⋊C₄×C₆₇	C₂×D₄	1	4	yes	—
318	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
319	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
320	C₂²⋊C₄×C₆₇	—	2	4	no	—
321	C₂²⋊C₄×C₆₇	—	2	4	no	—
322	C₂²⋊C₄×C₆₇	—	2	4	no	—
323	C₂²⋊C₄×C₆₇	—	2	4	no	—
324	C₂²⋊C₄×C₆₇	—	2	4	no	—
325	C₂²⋊C₄×C₆₇	—	2	4	no	—
326	C₂²⋊C₄×C₆₇	—	2	4	no	—
327	C₂²⋊C₄×C₆₇	C₂×D₄	1	4	yes	—
328	C₂²⋊C₄×C₆₇	C₂×D₄	1	4	yes	—
329	C₄²×C₆₇	—	2	4	no	—
330	C₄²×C₆₇	C₂×D₄	1	2	yes	—
331	C₄²×C₆₇	C₂⁴	1	2	yes	—
332	C₂³×C₆₇	—	2	2	no	—
333	C₂³×C₆₇	—	2	2	no	—
334	C₂³×C₆₇	—	2	2	no	—
335	C₂³×C₆₇	—	2	4	no	—
336	C₂³×C₆₇	—	2	2	no	—
337	C₂³×C₆₇	—	2	2	no	—
338	C₂³×C₆₇	—	2	2	no	—
339	C₂³×C₆₇	—	2	2	no	—
340	C₂³×C₆₇	—	2	2	no	—
341	C₂³×C₆₇	—	2	2	no	—
342	C₂³×C₆₇	—	4	8	no	—
343	C₂³×C₆₇	—	4	8	no	—
344	C₂³×C₆₇	—	4	8	no	—
345	C₂³×C₆₇	—	4	2	no	—
346	C₂³×C₆₇	—	4	2	no	—
347	C₂³×C₆₇	—	4	2	no	—
348	C₂³×C₆₇	—	4	2	no	—
349	C₂³×C₆₇	—	4	2	no	—
350	C₂³×C₆₇	—	4	2	no	—
351	C₂³×C₆₇	—	4	2	no	—
352	C₂³×C₆₇	—	4	2	no	—
353	C₂³×C₆₇	—	4	8	no	—
354	C₂³×C₆₇	—	4	2	no	—
355	C₂³×C₆₇	—	4	2	no	—
356	C₂³×C₆₇	—	4	2	no	—
357	C₂³×C₆₇	—	8	4	no	—
358	C₂³×C₆₇	—	8	4	no	—
359	C₂³×C₆₇	—	8	16	no	—
360	C₂³×C₆₇	—	8	16	no	—
361	C₂³×C₆₇	AGL(1,ℤ/8)	1	4	yes	complemented
362	C₂³×C₆₇	C₂²×D₄	1	2	yes	—
363	C₂³×C₆₇	C₂²×D₄	1	2	yes	—
364	C₂³×C₆₇	C₂²×D₄	1	1	yes	characteristic
365	Q₈×C₆₇	—	2	4	no	—
366	Q₈×C₆₇	—	2	2	no	—
367	Q₈×C₆₇	—	2	2	no	—
368	Q₈×C₆₇	—	2	2	no	—
369	Q₈×C₆₇	—	4	8	no	—
370	Q₈×C₆₇	—	4	2	no	—
371	Q₈×C₆₇	C₂²×D₄	1	4	yes	complemented
372	D₄×C₆₇	—	2	8	no	—
373	D₄×C₆₇	—	2	4	no	—
374	D₄×C₆₇	—	2	2	no	—
375	D₄×C₆₇	—	2	2	no	—
376	D₄×C₆₇	—	2	2	no	—
377	D₄×C₆₇	—	2	2	no	—
378	D₄×C₆₇	—	2	2	no	—
379	D₄×C₆₇	—	2	2	no	—
380	D₄×C₆₇	—	2	2	no	—
381	D₄×C₆₇	—	4	8	no	—
382	D₄×C₆₇	—	4	8	no	—
383	D₄×C₆₇	—	4	8	no	—
384	D₄×C₆₇	—	4	8	no	—
385	D₄×C₆₇	—	4	8	no	—
386	D₄×C₆₇	—	4	8	no	—
387	D₄×C₆₇	—	4	8	no	—
388	D₄×C₆₇	—	4	2	no	—
389	D₄×C₆₇	—	4	2	no	—
390	D₄×C₆₇	—	4	2	no	—
391	D₄×C₆₇	—	8	4	no	—
392	D₄×C₆₇	C₂²×D₄	1	4	yes	—
393	C₂×C₄×C₆₇	—	2	2	no	—
394	C₂×C₄×C₆₇	—	2	2	no	—
395	C₂×C₄×C₆₇	—	2	4	no	—
396	C₂×C₄×C₆₇	—	2	2	no	—
397	C₂×C₄×C₆₇	—	2	2	no	—
398	C₂×C₄×C₆₇	—	2	2	no	—
399	C₂×C₄×C₆₇	—	2	4	no	—
400	C₂×C₄×C₆₇	—	2	4	no	—
401	C₂×C₄×C₆₇	—	2	2	no	—
402	C₂×C₄×C₆₇	—	2	2	no	—
403	C₂×C₄×C₆₇	—	2	2	no	—
404	C₂×C₄×C₆₇	—	2	2	no	—
405	C₂×C₄×C₆₇	—	2	2	no	—
406	C₂×C₄×C₆₇	—	2	2	no	—
407	C₂×C₄×C₆₇	—	2	2	no	—
408	C₂×C₄×C₆₇	—	4	8	no	—
409	C₂×C₄×C₆₇	—	4	8	no	—
410	C₂×C₄×C₆₇	—	4	8	no	—
411	C₂×C₄×C₆₇	—	4	2	no	—
412	C₂×C₄×C₆₇	—	4	2	no	—
413	C₂×C₄×C₆₇	—	4	2	no	—
414	C₂×C₄×C₆₇	C₂²×D₄	1	2	yes	—
415	C₂×C₄×C₆₇	C₂²×D₄	1	2	yes	—
416	C₂×C₄×C₆₇	C₂²×D₄	1	2	yes	—
417	C₂×C₄×C₆₇	C₂²×D₄	1	2	yes	—
418	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
419	C₂×C₄×C₆₇	C₂²×D₄	1	2	yes	—
420	C₂×C₄×C₆₇	H(5,𝔽₂)	1	2	yes	—
421	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
422	C₈×C₆₇	—	2	2	no	—
423	C₈×C₆₇	—	2	2	no	—
424	C₈×C₆₇	—	2	2	no	—
425	C₈×C₆₇	C₂²×D₄	1	4	yes	complemented
426	C₂²×C₆₇	—	2	2	no	—
427	C₂²×C₆₇	—	2	8	no	—
428	C₂²×C₆₇	—	2	2	no	—
429	C₂²×C₆₇	—	2	2	no	—
430	C₂²×C₆₇	—	2	4	no	—
431	C₂²×C₆₇	—	2	2	no	—
432	C₂²×C₆₇	—	2	2	no	—
433	C₂²×C₆₇	—	4	4	no	—
434	C₂²×C₆₇	—	4	8	no	—
435	C₂²×C₆₇	—	4	2	no	—
436	C₂²×C₆₇	—	4	2	no	—
437	C₂²×C₆₇	—	4	2	no	—
438	C₂²×C₆₇	—	4	2	no	—
439	C₂²×C₆₇	—	4	2	no	—
440	C₂²×C₆₇	—	4	2	no	—
441	C₂²×C₆₇	—	4	2	no	—
442	C₂²×C₆₇	—	4	2	no	—
443	C₂²×C₆₇	—	4	2	no	—
444	C₂²×C₆₇	—	4	2	no	—
445	C₂²×C₆₇	—	4	2	no	—
446	C₂²×C₆₇	—	8	16	no	—
447	C₂²×C₆₇	—	8	16	no	—
448	C₂²×C₆₇	—	8	4	no	—
449	C₂²×C₆₇	—	8	4	no	—
450	C₂²×C₆₇	—	8	4	no	—
451	C₂²×C₆₇	D₄²	1	2	yes	—
452	C₂²×C₆₇	C₂×AGL(1,ℤ/8)	1	2	yes	—
453	C₂²×C₆₇	C₂×AGL(1,ℤ/8)	1	4	yes	complemented
454	C₂²×C₆₇	#577	1	2	yes	—
455	C₂²×C₆₇	C₂³×D₄	1	1	yes	characteristic
456	C₄×C₆₇	—	2	2	no	—
457	C₄×C₆₇	—	2	2	no	—
458	C₄×C₆₇	—	2	4	no	—
459	C₄×C₆₇	—	2	2	no	—
460	C₄×C₆₇	—	2	2	no	—
461	C₄×C₆₇	—	4	2	no	—
462	C₄×C₆₇	—	4	2	no	—
463	C₄×C₆₇	—	4	2	no	—
464	C₄×C₆₇	D₄²	1	2	yes	—
465	C₄×C₆₇	C₂³×D₄	1	1	yes	characteristic
466	C₄×C₆₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
467	C₂×#3265	C₆₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
468	C₂×C₆₇	—	2	4	no	—
469	C₂×C₆₇	—	4	2	no	—
470	C₂×C₆₇	—	4	4	no	—
471	C₂×C₆₇	—	8	2	no	—
472	C₂×C₆₇	—	8	2	no	—
473	C₂×C₆₇	—	8	2	no	—
474	C₂×C₆₇	#3265	1	4	yes	direct product factor
475	C₂×C₆₇	C₂×D₄²	1	1	yes	characteristic
476	C₂×C₆₇	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
477	C₂×C₆₇	C₂×#577	1	1	yes	characteristic
478	C₂²×AGL(1,ℤ/8)	C₂×C₆₇	1	1	yes	characteristic, complemented
479	C₂³×SD₁₆	C₂×C₆₇	1	1	yes	characteristic, complemented
480	C₂×#548	C₂×C₆₇	1	1	yes	characteristic, complemented
481	C₂×D₄²	C₂×C₆₇	1	1	yes	characteristic, complemented
482	#3265	C₂×C₆₇	1	16	yes	direct product factor
483	C₂×#496	C₂×C₆₇	1	1	yes	characteristic, complemented
484	C₂×#468	C₂×C₆₇	1	1	yes	characteristic, complemented
485	C₂×#466	C₂×C₆₇	1	1	yes	characteristic, complemented
486	C₂×#460	C₂×C₆₇	1	1	yes	characteristic, complemented
487	C₂×#463	C₂×C₆₇	1	1	yes	characteristic, complemented
488	C₂×#449	C₂×C₆₇	1	1	yes	characteristic, complemented
489	C₂×#448	C₂×C₆₇	1	1	yes	characteristic, complemented
490	C₂×#450	C₂×C₆₇	1	1	yes	characteristic, complemented
491	C₂×#447	C₂×C₆₇	1	1	yes	characteristic, complemented
492	C₂×#440	C₂×C₆₇	1	1	yes	characteristic, complemented
493	C₂×#435	C₂×C₆₇	1	1	yes	characteristic, complemented
494	C₆₇	C₂×#3265	1	1	yes	characteristic, direct product factor, Sylow
495	C₂²×#41	C₂²×C₆₇	1	1	yes	characteristic, complemented
496	C₂³×Q₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
497	C₂³×D₄	—	2	1	no	—
498	C₂³×D₄	C₂²×C₆₇	1	1	yes	characteristic
499	C₂³×D₄	C₂²×C₆₇	1	1	yes	characteristic
500	C₂×AGL(1,ℤ/8)	—	2	8	no	—
501	C₂×AGL(1,ℤ/8)	C₂²×C₆₇	1	8	yes	complemented
502	C₂²×SD₁₆	—	2	8	no	—
503	C₂²×SD₁₆	C₂²×C₆₇	1	1	yes	characteristic
504	C₂²×SD₁₆	C₂²×C₆₇	1	1	yes	characteristic
505	C₂²×SD₁₆	C₂²×C₆₇	1	1	yes	characteristic, complemented
506	C₂²×SD₁₆	C₂²×C₆₇	1	1	yes	characteristic, complemented
507	C₂²×SD₁₆	C₂²×C₆₇	1	1	yes	characteristic, complemented
508	C₂²×SD₁₆	C₂²×C₆₇	1	1	yes	characteristic, complemented
509	C₂²×SD₁₆	C₂²×C₆₇	1	8	yes	complemented
510	C₂²×D₈	C₂²×C₆₇	1	1	yes	characteristic
511	C₂²×D₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
512	C₂²×D₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
513	C₂²×M₁₆	C₂²×C₆₇	1	1	yes	characteristic, complemented
514	C₂³×C₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
515	#548	—	2	4	no	—
516	#548	C₂²×C₆₇	1	8	yes	complemented
517	D₄²	—	2	4	no	—
518	D₄²	C₂²×C₆₇	1	8	yes	complemented
519	C₂×#127	C₂²×C₆₇	1	1	yes	characteristic
520	C₂×#124	—	2	1	no	—
521	C₂×#124	C₂²×C₆₇	1	1	yes	characteristic, complemented
522	C₂×C₂²⋊Q₈	—	2	1	no	—
523	C₂×C₂²⋊Q₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
524	C₂×#121	—	2	1	no	—
525	C₂×#121	—	2	1	no	—
526	C₂×#121	C₂²×C₆₇	1	1	yes	characteristic
527	C₂×#121	C₂²×C₆₇	1	1	yes	characteristic
528	C₂×#121	C₂²×C₆₇	1	1	yes	characteristic, complemented
529	C₂×#120	—	2	1	no	—
530	C₂×#120	—	2	1	no	—
531	C₂×C₄×Q₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
532	C₂×C₄×D₄	—	2	1	no	—
533	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic
534	C₂×C₄×D₄	C₂²×C₆₇	1	1	yes	characteristic
535	#496	C₂²×C₆₇	1	8	yes	complemented
536	#468	C₂²×C₆₇	1	8	yes	complemented
537	#466	C₂²×C₆₇	1	8	yes	complemented
538	#463	C₂²×C₆₇	1	8	yes	complemented
539	#460	C₂²×C₆₇	1	8	yes	complemented
540	#450	C₂²×C₆₇	1	8	yes	complemented
541	#449	C₂²×C₆₇	1	8	yes	complemented
542	#448	C₂²×C₆₇	1	8	yes	complemented
543	#447	C₂²×C₆₇	1	8	yes	complemented
544	#440	C₂²×C₆₇	1	8	yes	complemented
545	#435	C₂²×C₆₇	1	8	yes	complemented
546	C₂×#107	C₂²×C₆₇	1	1	yes	characteristic, complemented
547	C₂×C₄⋊C₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
548	C₂×#103	C₂²×C₆₇	1	1	yes	characteristic, complemented
549	C₂×#103	C₂²×C₆₇	1	1	yes	characteristic, complemented
550	C₂×#102	C₂²×C₆₇	1	1	yes	characteristic
551	C₂×#102	C₂²×C₆₇	1	1	yes	characteristic, complemented
552	C₂×#102	C₂²×C₆₇	1	1	yes	characteristic, complemented
553	C₂×#102	C₂²×C₆₇	1	1	yes	characteristic, complemented
554	C₂×C₂²⋊C₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
555	C₂×C₂²⋊C₈	C₂²×C₆₇	1	1	yes	characteristic, complemented
556	C₂×#97	C₂²×C₆₇	1	1	yes	characteristic, complemented
557	C₂⁵	—	2	1	no	—
558	C₂⁵	—	2	1	no	—
559	C₂×#41	—	2	2	no	—
560	C₂×#41	—	2	4	no	—
561	C₂×#41	—	4	2	no	—
562	C₂×#41	C₂³×C₆₇	1	4	yes	complemented
563	C₂²×Q₈	—	2	1	no	—
564	C₂²×Q₈	—	2	2	no	—
565	C₂²×Q₈	—	2	4	no	—
566	C₂²×Q₈	—	4	2	no	—
567	C₂²×Q₈	C₂³×C₆₇	1	1	yes	characteristic
568	C₂²×Q₈	C₂³×C₆₇	1	1	yes	characteristic
569	C₂²×Q₈	C₂³×C₆₇	1	4	yes	complemented
570	C₂²×D₄	—	2	4	no	—
571	C₂²×D₄	—	2	4	no	—
572	C₂²×D₄	—	2	1	no	—
573	C₂²×D₄	—	2	1	no	—
574	C₂²×D₄	—	2	1	no	—
575	C₂²×D₄	—	2	1	no	—
576	C₂²×D₄	—	2	8	no	—
577	C₂²×D₄	—	2	1	no	—
578	C₂²×D₄	—	2	1	no	—
579	C₂²×D₄	—	2	1	no	—
580	C₂²×D₄	—	2	2	no	—
581	C₂²×D₄	—	2	2	no	—
582	C₂²×D₄	—	2	1	no	—
583	C₂²×D₄	—	4	2	no	—
584	C₂²×D₄	—	4	2	no	—
585	C₂²×D₄	—	4	8	no	—
586	C₂²×D₄	D₄×C₆₇	1	1	yes	characteristic
587	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
588	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
589	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
590	C₂²×D₄	C₂³×C₆₇	1	4	yes	—
591	C₂²×D₄	C₂³×C₆₇	1	4	yes	—
592	C₂²×D₄	C₂³×C₆₇	1	1	yes	characteristic
593	C₂³×C₄	—	2	1	no	—
594	C₂³×C₄	—	2	1	no	—
595	C₂³×C₄	—	2	1	no	—
596	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
597	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
598	AGL(1,ℤ/8)	—	2	32	no	—
599	C₂×SD₁₆	—	2	4	no	—
600	C₂×SD₁₆	—	2	4	no	—
601	C₂×SD₁₆	—	2	4	no	—
602	C₂×SD₁₆	—	2	32	no	—
603	C₂×SD₁₆	—	2	4	no	—
604	C₂×SD₁₆	—	4	2	no	—
605	C₂×SD₁₆	D₄×C₆₇	1	8	yes	complemented
606	C₂×SD₁₆	C₂³×C₆₇	1	4	yes	—
607	C₂×SD₁₆	C₂³×C₆₇	1	4	yes	—
608	C₂×SD₁₆	C₂³×C₆₇	1	4	yes	complemented
609	C₂×SD₁₆	C₂³×C₆₇	1	4	yes	complemented
610	C₂×SD₁₆	C₂³×C₆₇	1	4	yes	complemented
611	C₂×SD₁₆	C₂³×C₆₇	1	4	yes	complemented
612	C₂×D₈	—	2	4	no	—
613	C₂×D₈	—	2	4	no	—
614	C₂×D₈	—	4	2	no	—
615	C₂×D₈	C₂³×C₆₇	1	4	yes	—
616	C₂×D₈	C₂³×C₆₇	1	4	yes	complemented
617	C₂×D₈	C₂³×C₆₇	1	4	yes	complemented
618	C₂×M₁₆	—	2	4	no	—
619	C₂×M₁₆	C₂³×C₆₇	1	4	yes	complemented
620	C₂²×C₈	—	2	4	no	—
621	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
622	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
623	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
624	C₂²×C₈	C₂³×C₆₇	1	1	yes	characteristic
625	C₂²×C₈	C₂³×C₆₇	1	4	yes	complemented
626	#127	—	2	2	no	—
627	#127	C₂³×C₆₇	1	4	yes	—
628	#124	—	2	8	no	—
629	#124	—	2	2	no	—
630	#124	C₂³×C₆₇	1	4	yes	complemented
631	C₂²⋊Q₈	—	2	2	no	—
632	C₂²⋊Q₈	—	2	8	no	—
633	C₂²⋊Q₈	C₂³×C₆₇	1	4	yes	complemented
634	#121	—	2	8	no	—
635	#121	—	2	2	no	—
636	#121	—	2	2	no	—
637	#121	—	2	2	no	—
638	#121	—	2	8	no	—
639	#121	C₂³×C₆₇	1	4	yes	—
640	#121	C₂³×C₆₇	1	4	yes	—
641	#121	C₂³×C₆₇	1	4	yes	complemented
642	#120	—	2	8	no	—
643	#120	—	2	8	no	—
644	C₄×Q₈	—	2	2	no	—
645	C₄×Q₈	C₂³×C₆₇	1	4	yes	complemented
646	C₄×D₄	—	2	8	no	—
647	C₄×D₄	—	2	2	no	—
648	C₄×D₄	D₄×C₆₇	1	4	yes	—
649	C₄×D₄	C₂³×C₆₇	1	4	yes	—
650	C₄×D₄	C₂³×C₆₇	1	4	yes	—
651	C₂×C₄⋊C₄	—	2	1	no	—
652	C₂×C₄⋊C₄	—	2	1	no	—
653	C₂×C₄⋊C₄	D₄×C₆₇	1	1	yes	characteristic
654	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
655	C₂×C₄⋊C₄	C₂³×C₆₇	1	1	yes	characteristic
656	C₂×C₂²⋊C₄	—	2	1	no	—
657	C₂×C₂²⋊C₄	—	2	1	no	—
658	C₂×C₂²⋊C₄	—	2	1	no	—
659	C₂×C₂²⋊C₄	—	2	1	no	—
660	C₂×C₂²⋊C₄	—	2	1	no	—
661	C₂×C₂²⋊C₄	—	2	1	no	—
662	C₂×C₂²⋊C₄	—	2	1	no	—
663	C₂×C₂²⋊C₄	D₄×C₆₇	1	1	yes	characteristic
664	C₂×C₂²⋊C₄	D₄×C₆₇	1	1	yes	characteristic
665	C₂×C₄²	—	2	1	no	—
666	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
667	#107	C₂³×C₆₇	1	4	yes	complemented
668	C₄⋊C₈	C₂³×C₆₇	1	4	yes	complemented
669	#103	C₂³×C₆₇	1	4	yes	complemented
670	#103	C₂³×C₆₇	1	4	yes	complemented
671	#102	C₂³×C₆₇	1	4	yes	—
672	#102	C₂³×C₆₇	1	4	yes	complemented
673	#102	C₂³×C₆₇	1	4	yes	complemented
674	#102	C₂³×C₆₇	1	4	yes	complemented
675	C₂²⋊C₈	C₂³×C₆₇	1	4	yes	complemented
676	C₂²⋊C₈	C₂³×C₆₇	1	4	yes	complemented
677	#97	C₂³×C₆₇	1	4	yes	complemented
678	C₂⁴	—	2	1	no	—
679	C₂⁴	—	2	1	no	—
680	C₂⁴	—	2	1	no	—
681	C₂⁴	—	2	1	no	—
682	C₂⁴	—	2	4	no	—
683	C₂⁴	—	2	4	no	—
684	C₂⁴	—	4	4	no	—
685	C₂⁴	—	4	4	no	—
686	C₂⁴	—	4	4	no	—
687	C₂⁴	—	4	4	no	—
688	C₂⁴	—	8	2	no	—
689	C₂⁴	—	8	2	no	—
690	C₂⁴	C₂×D₄×C₆₇	1	1	yes	characteristic
691	C₂⁴	C₂×D₄×C₆₇	1	1	yes	characteristic
692	#41	—	2	8	no	—
693	#41	—	4	4	no	—
694	#41	—	4	8	no	—
695	C₂×Q₈	—	2	1	no	—
696	C₂×Q₈	—	2	1	no	—
697	C₂×Q₈	—	2	4	no	—
698	C₂×Q₈	—	2	2	no	—
699	C₂×Q₈	—	2	8	no	—
700	C₂×Q₈	—	2	2	no	—
701	C₂×Q₈	—	2	2	no	—
702	C₂×Q₈	—	4	4	no	—
703	C₂×Q₈	—	4	4	no	—
704	C₂×Q₈	—	4	8	no	—
705	C₂×Q₈	C₂×D₄×C₆₇	1	4	yes	complemented
706	C₂×Q₈	C₂⁴×C₆₇	1	2	yes	—
707	C₂×Q₈	C₂⁴×C₆₇	1	2	yes	—
708	C₂×D₄	—	2	4	no	—
709	C₂×D₄	—	2	8	no	—
710	C₂×D₄	—	2	8	no	—
711	C₂×D₄	—	2	4	no	—
712	C₂×D₄	—	2	4	no	—
713	C₂×D₄	—	2	4	no	—
714	C₂×D₄	—	2	4	no	—
715	C₂×D₄	—	2	1	no	—
716	C₂×D₄	—	2	2	no	—
717	C₂×D₄	—	2	2	no	—
718	C₂×D₄	—	2	2	no	—
719	C₂×D₄	—	2	4	no	—
720	C₂×D₄	—	2	4	no	—
721	C₂×D₄	—	2	1	no	—
722	C₂×D₄	—	2	1	no	—
723	C₂×D₄	—	2	1	no	—
724	C₂×D₄	—	2	4	no	—
725	C₂×D₄	—	2	4	no	—
726	C₂×D₄	—	2	2	no	—
727	C₂×D₄	—	2	2	no	—
728	C₂×D₄	—	2	2	no	—
729	C₂×D₄	—	2	2	no	—
730	C₂×D₄	—	4	4	no	—
731	C₂×D₄	—	4	4	no	—
732	C₂×D₄	—	4	8	no	—
733	C₂×D₄	—	4	8	no	—
734	C₂×D₄	—	4	4	no	—
735	C₂×D₄	—	4	4	no	—
736	C₂×D₄	—	4	4	no	—
737	C₂×D₄	—	4	4	no	—
738	C₂×D₄	—	4	32	no	—
739	C₂×D₄	—	4	4	no	—
740	C₂×D₄	—	4	4	no	—
741	C₂×D₄	—	4	4	no	—
742	C₂×D₄	—	8	2	no	—
743	C₂×D₄	C₂×D₄×C₆₇	1	4	yes	—
744	C₂×D₄	C₂×D₄×C₆₇	1	4	yes	—
745	C₂×D₄	C₂⁴×C₆₇	1	2	yes	—
746	C₂×D₄	C₂⁴×C₆₇	1	2	yes	—
747	C₂×D₄	C₂⁴×C₆₇	1	2	yes	—
748	C₂×D₄	C₂⁴×C₆₇	1	2	yes	—
749	C₂²×C₄	—	2	1	no	—
750	C₂²×C₄	—	2	2	no	—
751	C₂²×C₄	—	2	2	no	—
752	C₂²×C₄	—	2	2	no	—
753	C₂²×C₄	—	2	2	no	—
754	C₂²×C₄	—	2	1	no	—
755	C₂²×C₄	—	2	1	no	—
756	C₂²×C₄	—	2	1	no	—
757	C₂²×C₄	—	2	4	no	—
758	C₂²×C₄	—	2	4	no	—
759	C₂²×C₄	—	2	4	no	—
760	C₂²×C₄	—	4	4	no	—
761	C₂²×C₄	—	4	4	no	—
762	C₂²×C₄	—	4	4	no	—
763	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
764	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
765	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
766	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
767	C₂²×C₄	C₂×D₄×C₆₇	1	2	yes	—
768	C₂²×C₄	C₂×D₄×C₆₇	1	2	yes	—
769	C₂²×C₄	C₂⁴×C₆₇	1	2	yes	—
770	C₂²×C₄	C₂⁴×C₆₇	1	2	yes	—
771	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
772	SD₁₆	—	2	8	no	—
773	SD₁₆	—	2	8	no	—
774	SD₁₆	—	2	8	no	—
775	SD₁₆	—	2	8	no	—
776	SD₁₆	—	4	4	no	—
777	SD₁₆	C₂×D₄×C₆₇	1	16	yes	complemented
778	D₈	—	2	8	no	—
779	D₈	—	2	8	no	—
780	D₈	—	4	4	no	—
781	M₁₆	—	2	8	no	—
782	C₂×C₈	—	2	2	no	—
783	C₂×C₈	—	2	2	no	—
784	C₂×C₈	—	2	2	no	—
785	C₂×C₈	—	2	8	no	—
786	C₂×C₈	C₂×D₄×C₆₇	1	4	yes	complemented
787	C₂×C₈	C₂⁴×C₆₇	1	2	yes	—
788	C₂×C₈	C₂⁴×C₆₇	1	2	yes	—
789	C₂×C₈	C₂⁴×C₆₇	1	2	yes	—
790	C₂×C₈	C₂⁴×C₆₇	1	2	yes	—
791	C₄⋊C₄	—	2	4	no	—
792	C₄⋊C₄	—	2	4	no	—
793	C₄⋊C₄	—	2	1	no	—
794	C₄⋊C₄	—	2	1	no	—
795	C₄⋊C₄	C₂×D₄×C₆₇	1	4	yes	—
796	C₄⋊C₄	C₂⁴×C₆₇	1	2	yes	—
797	C₄⋊C₄	C₂⁴×C₆₇	1	2	yes	—
798	C₂²⋊C₄	—	2	4	no	—
799	C₂²⋊C₄	—	2	4	no	—
800	C₂²⋊C₄	—	2	4	no	—
801	C₂²⋊C₄	—	2	4	no	—
802	C₂²⋊C₄	—	2	4	no	—
803	C₂²⋊C₄	—	2	4	no	—
804	C₂²⋊C₄	—	2	4	no	—
805	C₂²⋊C₄	C₂×D₄×C₆₇	1	4	yes	—
806	C₂²⋊C₄	C₂×D₄×C₆₇	1	4	yes	—
807	C₄²	—	2	4	no	—
808	C₄²	C₂×D₄×C₆₇	1	2	yes	—
809	C₄²	C₂⁴×C₆₇	1	2	yes	—
810	C₂³	—	2	2	no	—
811	C₂³	—	2	2	no	—
812	C₂³	—	2	2	no	—
813	C₂³	—	2	4	no	—
814	C₂³	—	2	2	no	—
815	C₂³	—	2	2	no	—
816	C₂³	—	2	2	no	—
817	C₂³	—	2	2	no	—
818	C₂³	—	2	2	no	—
819	C₂³	—	2	2	no	—
820	C₂³	—	4	8	no	—
821	C₂³	—	4	8	no	—
822	C₂³	—	4	8	no	—
823	C₂³	—	4	2	no	—
824	C₂³	—	4	2	no	—
825	C₂³	—	4	2	no	—
826	C₂³	—	4	2	no	—
827	C₂³	—	4	2	no	—
828	C₂³	—	4	2	no	—
829	C₂³	—	4	2	no	—
830	C₂³	—	4	2	no	—
831	C₂³	—	4	8	no	—
832	C₂³	—	4	2	no	—
833	C₂³	—	4	2	no	—
834	C₂³	—	4	2	no	—
835	C₂³	—	8	4	no	—
836	C₂³	—	8	4	no	—
837	C₂³	—	8	16	no	—
838	C₂³	—	8	16	no	—
839	C₂³	AGL(1,ℤ/8)×C₆₇	1	4	yes	complemented
840	C₂³	C₂²×D₄×C₆₇	1	2	yes	—
841	C₂³	C₂²×D₄×C₆₇	1	2	yes	—
842	C₂³	C₂²×D₄×C₆₇	1	1	yes	characteristic
843	Q₈	—	2	4	no	—
844	Q₈	—	2	2	no	—
845	Q₈	—	2	2	no	—
846	Q₈	—	2	2	no	—
847	Q₈	—	4	8	no	—
848	Q₈	—	4	2	no	—
849	Q₈	C₂²×D₄×C₆₇	1	4	yes	complemented
850	D₄	—	2	8	no	—
851	D₄	—	2	4	no	—
852	D₄	—	2	2	no	—
853	D₄	—	2	2	no	—
854	D₄	—	2	2	no	—
855	D₄	—	2	2	no	—
856	D₄	—	2	2	no	—
857	D₄	—	2	2	no	—
858	D₄	—	2	2	no	—
859	D₄	—	4	8	no	—
860	D₄	—	4	8	no	—
861	D₄	—	4	8	no	—
862	D₄	—	4	8	no	—
863	D₄	—	4	8	no	—
864	D₄	—	4	8	no	—
865	D₄	—	4	8	no	—
866	D₄	—	4	2	no	—
867	D₄	—	4	2	no	—
868	D₄	—	4	2	no	—
869	D₄	—	8	4	no	—
870	D₄	C₂²×D₄×C₆₇	1	4	yes	—
871	C₂×C₄	—	2	2	no	—
872	C₂×C₄	—	2	2	no	—
873	C₂×C₄	—	2	4	no	—
874	C₂×C₄	—	2	2	no	—
875	C₂×C₄	—	2	2	no	—
876	C₂×C₄	—	2	2	no	—
877	C₂×C₄	—	2	4	no	—
878	C₂×C₄	—	2	4	no	—
879	C₂×C₄	—	2	2	no	—
880	C₂×C₄	—	2	2	no	—
881	C₂×C₄	—	2	2	no	—
882	C₂×C₄	—	2	2	no	—
883	C₂×C₄	—	2	2	no	—
884	C₂×C₄	—	2	2	no	—
885	C₂×C₄	—	2	2	no	—
886	C₂×C₄	—	4	8	no	—
887	C₂×C₄	—	4	8	no	—
888	C₂×C₄	—	4	8	no	—
889	C₂×C₄	—	4	2	no	—
890	C₂×C₄	—	4	2	no	—
891	C₂×C₄	—	4	2	no	—
892	C₂×C₄	C₂²×D₄×C₆₇	1	2	yes	—
893	C₂×C₄	C₂²×D₄×C₆₇	1	2	yes	—
894	C₂×C₄	C₂²×D₄×C₆₇	1	2	yes	—
895	C₂×C₄	C₂²×D₄×C₆₇	1	2	yes	—
896	C₂×C₄	C₂²×D₄×C₆₇	1	1	yes	characteristic
897	C₂×C₄	C₂²×D₄×C₆₇	1	2	yes	—
898	C₂×C₄	H(5,𝔽₂)×C₆₇	1	2	yes	—
899	C₂×C₄	C₂⁵×C₆₇	1	1	yes	characteristic
900	C₈	—	2	2	no	—
901	C₈	—	2	2	no	—
902	C₈	—	2	2	no	—
903	C₈	C₂²×D₄×C₆₇	1	4	yes	complemented
904	C₂²	—	2	8	no	—
905	C₂²	—	2	2	no	—
906	C₂²	—	2	2	no	—
907	C₂²	—	2	2	no	—
908	C₂²	—	2	2	no	—
909	C₂²	—	2	2	no	—
910	C₂²	—	2	4	no	—
911	C₂²	—	4	4	no	—
912	C₂²	—	4	8	no	—
913	C₂²	—	4	2	no	—
914	C₂²	—	4	2	no	—
915	C₂²	—	4	2	no	—
916	C₂²	—	4	2	no	—
917	C₂²	—	4	2	no	—
918	C₂²	—	4	2	no	—
919	C₂²	—	4	2	no	—
920	C₂²	—	4	2	no	—
921	C₂²	—	4	2	no	—
922	C₂²	—	4	2	no	—
923	C₂²	—	4	2	no	—
924	C₂²	—	8	16	no	—
925	C₂²	—	8	16	no	—
926	C₂²	—	8	4	no	—
927	C₂²	—	8	4	no	—
928	C₂²	—	8	4	no	—
929	C₂²	D₄²×C₆₇	1	2	yes	—
930	C₂²	C₂×AGL(1,ℤ/8)×C₆₇	1	2	yes	—
931	C₂²	C₂×AGL(1,ℤ/8)×C₆₇	1	4	yes	complemented
932	C₂²	#577×C₆₇	1	2	yes	—
933	C₂²	C₂³×D₄×C₆₇	1	1	yes	characteristic
934	C₄	—	2	2	no	—
935	C₄	—	2	2	no	—
936	C₄	—	2	2	no	—
937	C₄	—	2	2	no	—
938	C₄	—	2	4	no	—
939	C₄	—	4	2	no	—
940	C₄	—	4	2	no	—
941	C₄	—	4	2	no	—
942	C₄	D₄²×C₆₇	1	2	yes	—
943	C₄	C₂³×D₄×C₆₇	1	1	yes	characteristic
944	C₄	C₂×H(5,𝔽₂)×C₆₇	1	1	yes	characteristic
945	C₂	—	2	4	no	—
946	C₂	—	4	2	no	—
947	C₂	—	4	4	no	—
948	C₂	—	8	2	no	—
949	C₂	—	8	2	no	—
950	C₂	—	8	2	no	—
951	C₂	C₆₇×#3265	1	4	yes	direct product factor
952	C₂	C₂×D₄²×C₆₇	1	1	yes	characteristic
953	C₂	C₂²×AGL(1,ℤ/8)×C₆₇	1	1	yes	characteristic
954	C₂	C₂×#577×C₆₇	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₆₇	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₆₇
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₆₇ ◁ C₂×C₄×D₄×C₆₇ ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₂²×AGL(1,ℤ/8)×C₆₇	C₂	semidirect
2. C₂³×SD₁₆×C₆₇	C₂	semidirect
3. C₂×#548×C₆₇	C₂	semidirect
4. C₂×D₄²×C₆₇	C₂	semidirect
5. C₆₇×#3265	C₂	direct (N × H)
6. C₂×#496×C₆₇	C₂	semidirect
7. C₂×#468×C₆₇	C₂	semidirect
8. C₂×#466×C₆₇	C₂	semidirect
9. C₂×#460×C₆₇	C₂	semidirect
10. C₂×#463×C₆₇	C₂	semidirect
11. C₂×#449×C₆₇	C₂	semidirect
12. C₂×#448×C₆₇	C₂	semidirect
13. C₂×#450×C₆₇	C₂	semidirect
14. C₂×#447×C₆₇	C₂	semidirect
15. C₂×#440×C₆₇	C₂	semidirect
16. C₂×#435×C₆₇	C₂	semidirect
17. C₂²×#41×C₆₇	C₂²	semidirect
18. C₂³×Q₈×C₆₇	C₂²	semidirect
23. C₂×AGL(1,ℤ/8)×C₆₇	C₂²	semidirect
27. C₂²×SD₁₆×C₆₇	C₂²	semidirect
28. C₂²×SD₁₆×C₆₇	C₂²	semidirect
29. C₂²×SD₁₆×C₆₇	C₂²	semidirect
30. C₂²×SD₁₆×C₆₇	C₂²	semidirect
31. C₂²×SD₁₆×C₆₇	C₂²	semidirect
33. C₂²×D₈×C₆₇	C₂²	semidirect
34. C₂²×D₈×C₆₇	C₂²	semidirect
35. C₂²×M₁₆×C₆₇	C₂²	semidirect
36. C₂³×C₈×C₆₇	C₂²	semidirect
38. #548×C₆₇	C₂²	semidirect
40. D₄²×C₆₇	C₂²	semidirect
43. C₂×#124×C₆₇	C₂²	semidirect
45. C₂×C₂²⋊Q₈×C₆₇	C₂²	semidirect
50. C₂×#121×C₆₇	C₂²	semidirect
53. C₂×C₄×Q₈×C₆₇	C₂²	semidirect
57. #496×C₆₇	C₂²	semidirect
58. #468×C₆₇	C₂²	semidirect
59. #466×C₆₇	C₂²	semidirect
60. #463×C₆₇	C₂²	semidirect
61. #460×C₆₇	C₂²	semidirect
62. #450×C₆₇	C₂²	semidirect
63. #449×C₆₇	C₂²	semidirect
64. #448×C₆₇	C₂²	semidirect
65. #447×C₆₇	C₂²	semidirect
66. #440×C₆₇	C₂²	semidirect
67. #435×C₆₇	C₂²	semidirect
68. C₂×#107×C₆₇	C₂²	semidirect
69. C₂×C₄⋊C₈×C₆₇	C₂²	semidirect
70. C₂×#103×C₆₇	C₂²	semidirect
71. C₂×#103×C₆₇	C₂²	semidirect
73. C₂×#102×C₆₇	C₂²	semidirect
74. C₂×#102×C₆₇	C₂²	semidirect
75. C₂×#102×C₆₇	C₂²	semidirect
76. C₂×C₂²⋊C₈×C₆₇	C₂²	semidirect
77. C₂×C₂²⋊C₈×C₆₇	C₂²	semidirect
78. C₂×#97×C₆₇	C₂²	semidirect
84. C₂×#41×C₆₇	C₂³	semidirect
91. C₂²×Q₈×C₆₇	C₂³	semidirect
127. C₂×SD₁₆×C₆₇	D₄	semidirect
130. C₂×SD₁₆×C₆₇	C₂³	semidirect
131. C₂×SD₁₆×C₆₇	C₂³	semidirect
132. C₂×SD₁₆×C₆₇	C₂³	semidirect
133. C₂×SD₁₆×C₆₇	C₂³	semidirect
138. C₂×D₈×C₆₇	C₂³	semidirect
139. C₂×D₈×C₆₇	C₂³	semidirect
141. C₂×M₁₆×C₆₇	C₂³	semidirect
147. C₂²×C₈×C₆₇	C₂³	semidirect
152. #124×C₆₇	C₂³	semidirect
155. C₂²⋊Q₈×C₆₇	C₂³	semidirect
163. #121×C₆₇	C₂³	semidirect
167. C₄×Q₈×C₆₇	C₂³	semidirect
189. #107×C₆₇	C₂³	semidirect
190. C₄⋊C₈×C₆₇	C₂³	semidirect
191. #103×C₆₇	C₂³	semidirect
192. #103×C₆₇	C₂³	semidirect
194. #102×C₆₇	C₂³	semidirect
195. #102×C₆₇	C₂³	semidirect
196. #102×C₆₇	C₂³	semidirect
197. C₂²⋊C₈×C₆₇	C₂³	semidirect
198. C₂²⋊C₈×C₆₇	C₂³	semidirect
199. #97×C₆₇	C₂³	semidirect
227. C₂×Q₈×C₆₇	C₂×D₄	semidirect
299. SD₁₆×C₆₇	C₂×D₄	semidirect
308. C₂×C₈×C₆₇	C₂×D₄	semidirect
361. C₂³×C₆₇	AGL(1,ℤ/8)	semidirect
371. Q₈×C₆₇	C₂²×D₄	semidirect
425. C₈×C₆₇	C₂²×D₄	semidirect
453. C₂²×C₆₇	C₂×AGL(1,ℤ/8)	semidirect
467. C₂×#3265	C₆₇	direct (N × H)
474. C₂×C₆₇	#3265	direct (N × H)
478. C₂²×AGL(1,ℤ/8)	C₂×C₆₇	semidirect
479. C₂³×SD₁₆	C₂×C₆₇	semidirect
480. C₂×#548	C₂×C₆₇	semidirect
481. C₂×D₄²	C₂×C₆₇	semidirect
482. #3265	C₂×C₆₇	direct (N × H)
483. C₂×#496	C₂×C₆₇	semidirect
484. C₂×#468	C₂×C₆₇	semidirect
485. C₂×#466	C₂×C₆₇	semidirect
486. C₂×#460	C₂×C₆₇	semidirect
487. C₂×#463	C₂×C₆₇	semidirect
488. C₂×#449	C₂×C₆₇	semidirect
489. C₂×#448	C₂×C₆₇	semidirect
490. C₂×#450	C₂×C₆₇	semidirect
491. C₂×#447	C₂×C₆₇	semidirect
492. C₂×#440	C₂×C₆₇	semidirect
493. C₂×#435	C₂×C₆₇	semidirect
494. C₆₇	C₂×#3265	direct (N × H)
495. C₂²×#41	C₂²×C₆₇	semidirect
496. C₂³×Q₈	C₂²×C₆₇	semidirect
501. C₂×AGL(1,ℤ/8)	C₂²×C₆₇	semidirect
505. C₂²×SD₁₆	C₂²×C₆₇	semidirect
506. C₂²×SD₁₆	C₂²×C₆₇	semidirect
507. C₂²×SD₁₆	C₂²×C₆₇	semidirect
508. C₂²×SD₁₆	C₂²×C₆₇	semidirect
509. C₂²×SD₁₆	C₂²×C₆₇	semidirect
511. C₂²×D₈	C₂²×C₆₇	semidirect
512. C₂²×D₈	C₂²×C₆₇	semidirect
513. C₂²×M₁₆	C₂²×C₆₇	semidirect
514. C₂³×C₈	C₂²×C₆₇	semidirect
516. #548	C₂²×C₆₇	semidirect
518. D₄²	C₂²×C₆₇	semidirect
521. C₂×#124	C₂²×C₆₇	semidirect
523. C₂×C₂²⋊Q₈	C₂²×C₆₇	semidirect
528. C₂×#121	C₂²×C₆₇	semidirect
531. C₂×C₄×Q₈	C₂²×C₆₇	semidirect
535. #496	C₂²×C₆₇	semidirect
536. #468	C₂²×C₆₇	semidirect
537. #466	C₂²×C₆₇	semidirect
538. #463	C₂²×C₆₇	semidirect
539. #460	C₂²×C₆₇	semidirect
540. #450	C₂²×C₆₇	semidirect
541. #449	C₂²×C₆₇	semidirect
542. #448	C₂²×C₆₇	semidirect
543. #447	C₂²×C₆₇	semidirect
544. #440	C₂²×C₆₇	semidirect
545. #435	C₂²×C₆₇	semidirect
546. C₂×#107	C₂²×C₆₇	semidirect
547. C₂×C₄⋊C₈	C₂²×C₆₇	semidirect
548. C₂×#103	C₂²×C₆₇	semidirect
549. C₂×#103	C₂²×C₆₇	semidirect
551. C₂×#102	C₂²×C₆₇	semidirect
552. C₂×#102	C₂²×C₆₇	semidirect
553. C₂×#102	C₂²×C₆₇	semidirect
554. C₂×C₂²⋊C₈	C₂²×C₆₇	semidirect
555. C₂×C₂²⋊C₈	C₂²×C₆₇	semidirect
556. C₂×#97	C₂²×C₆₇	semidirect
562. C₂×#41	C₂³×C₆₇	semidirect
569. C₂²×Q₈	C₂³×C₆₇	semidirect
605. C₂×SD₁₆	D₄×C₆₇	semidirect
608. C₂×SD₁₆	C₂³×C₆₇	semidirect
609. C₂×SD₁₆	C₂³×C₆₇	semidirect
610. C₂×SD₁₆	C₂³×C₆₇	semidirect
611. C₂×SD₁₆	C₂³×C₆₇	semidirect
616. C₂×D₈	C₂³×C₆₇	semidirect
617. C₂×D₈	C₂³×C₆₇	semidirect
619. C₂×M₁₆	C₂³×C₆₇	semidirect
625. C₂²×C₈	C₂³×C₆₇	semidirect
630. #124	C₂³×C₆₇	semidirect
633. C₂²⋊Q₈	C₂³×C₆₇	semidirect
641. #121	C₂³×C₆₇	semidirect
645. C₄×Q₈	C₂³×C₆₇	semidirect
667. #107	C₂³×C₆₇	semidirect
668. C₄⋊C₈	C₂³×C₆₇	semidirect
669. #103	C₂³×C₆₇	semidirect
670. #103	C₂³×C₆₇	semidirect
672. #102	C₂³×C₆₇	semidirect
673. #102	C₂³×C₆₇	semidirect
674. #102	C₂³×C₆₇	semidirect
675. C₂²⋊C₈	C₂³×C₆₇	semidirect
676. C₂²⋊C₈	C₂³×C₆₇	semidirect
677. #97	C₂³×C₆₇	semidirect
705. C₂×Q₈	C₂×D₄×C₆₇	semidirect
777. SD₁₆	C₂×D₄×C₆₇	semidirect
786. C₂×C₈	C₂×D₄×C₆₇	semidirect
839. C₂³	AGL(1,ℤ/8)×C₆₇	semidirect
849. Q₈	C₂²×D₄×C₆₇	semidirect
903. C₈	C₂²×D₄×C₆₇	semidirect
931. C₂²	C₂×AGL(1,ℤ/8)×C₆₇	semidirect
951. C₂	C₆₇×#3265	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂²×AGL(1,ℤ/8)×C₆₇	2
C₂³×SD₁₆×C₆₇	2
C₂×#548×C₆₇	2
C₂×D₄²×C₆₇	2
C₆₇×#3265	2
C₂×#496×C₆₇	2
C₂×#468×C₆₇	2
C₂×#466×C₆₇	2
C₂×#460×C₆₇	2
C₂×#463×C₆₇	2
C₂×#449×C₆₇	2
C₂×#448×C₆₇	2
C₂×#450×C₆₇	2
C₂×#447×C₆₇	2
C₂×#440×C₆₇	2
C₂×#435×C₆₇	2
C₂×#3265	67

Subgroups — C2×C67×#3265 #30740274

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₆₇×#3265 #30740274